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231131113321230 = 23455925718818641
BaseRepresentation
bin110100100011011001100111…
…111001111111001100001110
31010022100220210200121001210000
4310203121213321333030032
5220243323010002234410
62135324100112425130
766453446311424643
oct6443314771771416
91108326720531700
10231131113321230
1167711177992111
1221b0a9122481a6
139bc7755404635
144110b3c6cbdca
151bac3b605adc0
hexd23667e7f30e

231131113321230 has 160 divisors (see below), whose sum is σ = 634478795232480. Its totient is φ = 60354540011520.

The previous prime is 231131113321193. The next prime is 231131113321301. The reversal of 231131113321230 is 32123311131132.

231131113321230 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 311 + 1 + 3 + 321 + 23 + 0 = 666.

It is a super-2 number, since 2×2311311133212302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231131113321194 and 231131113321203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2872710 + ... + 21691350.

It is an arithmetic number, because the mean of its divisors is an integer number (3965492470203).

Almost surely, 2231131113321230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231131113321230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317239397616240).

231131113321230 is an abundant number, since it is smaller than the sum of its proper divisors (403347681911250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231131113321230 is a wasteful number, since it uses less digits than its factorization.

231131113321230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18818976 (or 18818967 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 231131113321230 its reverse (32123311131132), we get a palindrome (263254424452362).

The spelling of 231131113321230 in words is "two hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirteen million, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 257 270 295 354 405 514 531 590 771 810 885 1062 1285 1542 1593 1770 2313 2570 2655 3186 3855 4626 4779 5310 6939 7710 7965 9558 11565 13878 15163 15930 20817 23130 23895 30326 34695 41634 45489 47790 69390 75815 90978 104085 136467 151630 208170 227445 272934 409401 454890 682335 818802 1228203 1364670 2047005 2456406 4094010 6141015 12282030 18818641 37637282 56455923 94093205 112911846 169367769 188186410 282279615 338735538 508103307 564559230 846838845 1016206614 1110299819 1524309921 1693677690 2220599638 2540516535 3048619842 3330899457 4836390737 5081033070 5551499095 6661798914 7621549605 9672781474 9992698371 11102998190 14509172211 15243099210 16654497285 19985396742 24181953685 29018344422 29978095113 33308994570 43527516633 48363907370 49963491855 59956190226 72545861055 87055033266 89934285339 99926983710 130582549899 145091722110 149890475565 179868570678 217637583165 261165099798 285347053483 299780951130 391747649697 435275166330 449671426695 570694106966 652912749495 783495299394 856041160449 899342853390 1305825498990 1426735267415 1712082320898 1958738248485 2568123481347 2853470534830 3917476496970 4280205802245 5136246962694 7704370444041 8560411604490 12840617406735 15408740888082 23113111332123 25681234813470 38521852220205 46226222664246 77043704440410 115565556660615 231131113321230